Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...

Conservation laws serve as a cornerstone in modelling the evolution of physical quantities such as mass, momentum and energy. Recent advances have placed a particular emphasis on systems where the ...

The Discontinuous family of functions is quickly integrated analytically, to high precision. In its two-dimensional form, as shown in the plot above, the function rises up into a peak near the centre, ...